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Table 3 Stochastic BCC efficiency scores in different periods \(\alpha =0.1\)

From: A firm-specific Malmquist productivity index model for stochastic data envelopment analysis: an application to commercial banks

Bank

2014

2015

2016

2017

2018

2019

2020

2021

1

0.8061

0.9189

0.9394

1

0.9211

1

0.8207

1

2

0.9173

0.9028

0.88

1

0.6216

0.7495

0.9494

1

3

0.5934

0.6593

0.658

0.8517

0.8831

0.7476

0.8471

0.8531

4

0.4546

0.5538

0.5531

0.5316

0.4659

1

0.5416

0.6174

5

0.1282

0.1254

0.1279

0.1399

0.1613

0.154

0.14

0.1377

6

0.8098

0.9856

1

1

1

0.6779

1

0.9451

7

0.1833

0.1692

0.1855

0.1663

0.1703

0.1976

0.1866

0.1735

8

0.955

0.8819

0.8561

0.7295

0.4769

0.38

0.3879

0.3723

9

1

0.9483

0.9279

0.876

0.8959

1

1

0.9748

10

1

0.9307

0.9004

1

0.8518

0.7957

1

1

11

0.4661

0.4792

0.4765

0.4624

0.5352

0.523

0.5946

0.6786

12

0.9462

0.8647

0.7825

0.7838

0.5479

0.4868

0.8424

0.9328

13

0.6944

0.6712

0.6501

0.6332

0.6022

0.5906

0.6693

1

14

0.7993

0.7057

0.6636

0.6281

0.6261

0.6222

0.696

0.6626

15

0.9336

0.7847

0.7535

0.733

0.7318

0.7196

0.77

0.7293

Min

0.1282

0.1254

0.1279

0.1399

0.1613

0.154

0.14

0.1377

Median

0.8061

0.7847

0.7535

0.733

0.6216

0.6779

0.77

0.8531

Max

1

0.9856

1

1

1

1

1

1

Mean

0.7125

0.7054

0.6903

0.7024

0.6327

0.6429

0.6964

0.7384

Std

0.2779

0.2629

0.2548

0.2727

0.2468

0.2561

0.2714

0.2899